A journal paper named "All-Links-Based E-Hailing Pricing and Surcharge Mechanism for Transportation System Performance Improvement" in TRR. ( You can find in the attachment)
In the model section (page 5), the author says that "Equations 8-10 are the definitional constraints for the path-link transformation relation and link surcharge calculation mechanisms based on the marginal externality."
I have question about equation 10 (page 5), which is a iterative equation illustrating the link surcharge relationship. But i don't know how to get to this equation. Would anyone like to explain this equation to me.
Thanks!
The gist of that paper's Equation 10 goes back to Robbins & Monroe and Blum. It's a reliable technique to solve many fixed-point problems in which direct feedback bounces around without certainty of convergence.
The first three pages of my conference paper below give a background for "successive averages" in another common transportation modeling problem: https://drive.google.com/file/d/0B0UMtdZbZqawYVdwanEwQlRyUEE/view
within my website, https://sites.google.com/site/jagibb3/home/transpo/Barzilai-Borwein
I hope this helps. Please reply if you have any trouble accessing and downloading that material.
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